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Finding the Fourth Proportional to 16,165.31, 24,259.10 and 5,635.41

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Solution

The fourth proportional to 16,165.31, 24,259.10 and 5,635.41 is: 8,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.31 : 24,259.10 = 5,635.41 : x
  2. Step 2: Convert to fraction form
    16,165.31/24,259.10 = 5,635.41/x
  3. Step 3: Cross multiply
    16,165.31x = 24,259.10 × 5,635.41
  4. Step 4: Simplify right side
    16,165.31x = 136,709,946.55
  5. Step 5: Solve for x
    x = 136,709,946.55/16,165.31
  6. Step 6: Final answer
    x = 8,457.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.